Least Common Multiple of 79/75, 140/86, 713/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/75, 140/86, 713/169 quickly i.e. 7885780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/75, 140/86, 713/169 is 7885780.

LCM(79/75, 140/86, 713/169) = 7885780

LCM of 79/75, 140/86, 713/169

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 79/75,140/86,713/169

Given numbers are 79/75,140/86,713/169

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 79,140,713

Least Common Multiple of Numerators i.e. LCM of 79,140,713 is 7885780.

GCF of Denominators means GCF of 75,86,169 as per the given fractions.

GCF of 75,86,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,140,713

LCM of Fractions 79/75,140/86,713/169 is 7885780

Given numbers has no common factors except 1. So, there LCM is their product i.e 7885780

Least Common Multiple of 79,140,713 with GCF Formula

Least Common Multiple of 79,140,713 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 79,140,713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,140,713) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,140,713) x common factors =1 x 1 = 1

LCM(79,140,713) = ( 79 × 140 × 713 ) / 1

LCM(79,140,713) = 7885780 / 1

LCM(79,140,713) = 7885780


Lets's calculate GCF of 75,86,169

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7885780/1

Therefore the LCM of Fractions 79/75,140/86,713/169 is 7885780

Greatest Common Factor of 75,86,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,86,169 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 75,86,169 . The biggest common factor number is the GCF number.
So the greatest common factor 75,86,169 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 79/75, 140/86, 713/169

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 79/75, 140/86, 713/169?

Answer: LCM of Numerators as per given numbers 79/75, 140/86, 713/169 is

LCM of Numerators i.e. for 79,140,713 is 7885780

GCF of denominators i.e. for 75,86,169 is 1.

Thus, LCM of Fractions is 7885780.Finally, LCM of Fractions for 79/75, 140/86, 713/169 is 7885780.